Premium
Patch recovery based on superconvergent derivatives and equilibrium
Author(s) -
Wiberg NilsErik,
Abdulwahab Fethi
Publication year - 1993
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620361603
Subject(s) - superconvergence , interpolation (computer graphics) , mathematics , extension (predicate logic) , order (exchange) , stress (linguistics) , finite element method , computer science , structural engineering , engineering , animation , computer graphics (images) , finance , economics , programming language , linguistics , philosophy
In this paper a postprocessing technique is developed for determining first‐order derivatives (fluxes, stresses) at nodal points based on derivatives in superconvergent points. It is an extension of the superconvergent patch recovery technique presented by Zienkiewicz and Zhu. In contrast to that technique all flux or stress components are interpolated at the same time, coupled by equilibrium equations at the superconvergent points. The equilibrium equations and use of one order higher degree of interpolation polynomials of stress give a dramatic decrease in error of recovered derivatives even at boundaries.